Asymmetry of the quark spectrum and effective Lagrangian for massive pseudoscalar mesons

Effective Lagrangian for massive pseudoscalar mesons is derived from the generating functional of quantum chromodynamics by means of chiral bosonization method. It is shown that the low-energy domain in the integral over quark fields is determined by quark and gluon condensates. The chiral anomaly and anomalous action in the presence of external vector, pseudo vector, scalar and pseudoscalar fields are obtained for the case of the asymmetrical quark spectrum.